Finding the Third Proportional to 1,564.69 and 2,932.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.69 : 2,932.31 = 2,932.31 : x
2. Step 2: Convert to fraction form
   1,564.69/2,932.31 = 2,932.31/x
3. Step 3: Cross multiply
   1,564.69x = 2,932.31 × 2,932.31
4. Step 4: Simplify right side
   1,564.69x = 8,598,456.60
5. Step 5: Solve for x
   x = 8,598,456.60/1,564.69
6. Step 6: Final answer
   x = 5,495.32